Combining Like Terms and the Distributive Property

Warm-Up Solve the following Equation: 7x - 2x + 3 - 2x = 21

Combining Like Terms Like Terms "Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other.

Can you combine these? 5x + 3x 7x + 5 3y + 4x 5y + 10y 3 + 5 Yes No

5x + 18 – 8x = 33 Combine Like Terms Subtract 18 From Both Sides Divide Both Sides by -3 Solve For The Variable -3x + 18 = 33 -18 -18 -3x = 15 -3 -3 X = -5

–3x – 4 + 2x = 2 -x - 4 = 2 -x - 4 = 2 +4 +4 -x = 6 -x = 6 -1 -1 x = -6 Combine Like Terms Add 4 to both sides Divide Both Sides by -1 Solve For The Variable

Subtract 14 from both sides 7x + 14 – 5x = -8 2x + 14 = -8 -14 -14 2x = -22 2x = -22 2 2 X = -11 Combine Like Terms Subtract 14 from both sides Divide Both sides by 2 Solve for x

Exit Slip Can you combine 7x and 3? Why or Why not?

Warm-Up Combine 5x -3x-4y+ 3

Distributive Property The Distributive Law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately Distributive Property- Multiply the term outside the parenthesis with the terms inside the parenthesis.

Solve the following equation 3( x + 2 ) = 12 3x + 6 = 12 -6 -6 3x = 6 3x = 6 3 3 X= 2 Distribute Combine Like Terms (if needed) Subtract 6 from both sides Divide both sides by 3 Solve for x

2 ( x + 7) + x = 20 2 ( x + 7) + x = 20 2x + 14 + x = 20 3x + 14 = 20 -14 -14 3x = 6 3 3 x = 2 Distribute Combine Like Terms Subtract 14 from both sides Divide both sides by 3 Solve for x

Using the Distributive Property

What does it mean to distribute? Explain in your own words. Exit Slip What does it mean to distribute? Explain in your own words.